Abstract
© 2016, Springer International Publishing. In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as (Formula presented.), where A, B, C∈ C. We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove that this upper bound is sharp.
Original language | English |
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Article number | 34 |
Journal | Nonlinear Differential Equations and Applications |
Volume | 23 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jun 2016 |
Keywords
- Bautin ideal
- Center
- cyclicity
- limit cycle
- polynomial vector fields